Write a direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at a rate of 600 mph.(1 point)
Responses
600=3x
600 equals 3 x
y=600/3
y equals Start Fraction 600 over 3 End Fraction
3=600x
3 equals 600 x
y=600×3
y = 600 * 3
y = 600 × 3
To write a direct variation equation, we need to use the formula y = kx, where y represents the dependent variable, x represents the independent variable, and k represents the constant of variation.
In this scenario, the number of miles the jet travels (y) is directly proportional to the time in hours (x) it takes to travel that distance. We are given that the jet flies at a rate of 600 mph, so we can set up the equation as follows:
y = kx
Since we know that the jet travels 600 miles in 1 hour, we can substitute these values into the equation:
600 = k * 1
Simplifying, we get:
k = 600
Now, we have the constant of variation (k) which is 600. So, the direct variation equation to find the number of miles the jet travels in 3 hours is:
y = 600x
Substituting x = 3, we can solve for y:
y = 600 * 3
y = 1800
Therefore, the jet travels 1800 miles in 3 hours.